Nonlinear dispersion relation of dust acoustic waves using the Korteweg-de Vries model
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929358837383168 |
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| author | Batool, Farida Mir, Ajaz Tiwari, Sanat Sen, Abhijit |
| author_facet | Batool, Farida Mir, Ajaz Tiwari, Sanat Sen, Abhijit |
| contents | In this brief communication, we present an exact analytic nonlinear dispersion relation (NLDR) for the dust acoustic waves using the Korteweg-de Vries (KdV) model. The NLDR agrees with the spectrum of spatio-temporal evolution obtained from an exact solution as in Mir~\textit{et al.}~[Phys. Plasmas \textbf{27}, 113701 (2020)]. The NLDR also shows a reasonable match with the experimental data of Thompson~\textit{et al.}~[Phys. Plasmas \textbf{4}, 2331 (1997)] in the long wavelength limit ($k λ_D \ll 1$). We suggest that such nonlinear corrections should be incorporated in the dispersion relation along with damping, streaming, and correlation effects in order to provide a more realistic interpretation of experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17568 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear dispersion relation of dust acoustic waves using the Korteweg-de Vries model Batool, Farida Mir, Ajaz Tiwari, Sanat Sen, Abhijit Plasma Physics In this brief communication, we present an exact analytic nonlinear dispersion relation (NLDR) for the dust acoustic waves using the Korteweg-de Vries (KdV) model. The NLDR agrees with the spectrum of spatio-temporal evolution obtained from an exact solution as in Mir~\textit{et al.}~[Phys. Plasmas \textbf{27}, 113701 (2020)]. The NLDR also shows a reasonable match with the experimental data of Thompson~\textit{et al.}~[Phys. Plasmas \textbf{4}, 2331 (1997)] in the long wavelength limit ($k λ_D \ll 1$). We suggest that such nonlinear corrections should be incorporated in the dispersion relation along with damping, streaming, and correlation effects in order to provide a more realistic interpretation of experimental data. |
| title | Nonlinear dispersion relation of dust acoustic waves using the Korteweg-de Vries model |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2401.17568 |